We shade the middle 47% of the area between the curve and the horizontal axis
(in green below.  We want to know the values on the horizontal axis where the
question marks ("?") are.



There are two kinds of normal tables in use today. If your table is like the one
on this site:

https://www.mathsisfun.com/data/standard-normal-distribution-table.html

then take one-half of 0.47, which is 0.235.  Look through the body of the table
to find the nearest value to 0.235. The nearest is 0.2357 which has value in
the z-column 0.6 and the column heading 0.03, so add those together and get
0.63.  Then by symmetry, the z-score for the right question mark is z=0.63, and
the value for the left question mark is z=-0.63.

If your table is like the one on this site:

https://byjus.com/maths/z-score-table/

then subtract 0.47 from 1, which is 1-0.47 = 0.53. Take one-half of 0.53, which
is 0.265. Look through the body of the table to find the nearest value to 0.265.
The nearest is 0.2643 which has value in the z-column -0.6 and the column
heading 0.03, so add those together (in absolute value) and get -0.63. Then by
symmetry, the z-score for the left question mark is z=-0.63, and the value for
the right question mark is z=0.63.



Edwin